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11199801680 = 245401349121
BaseRepresentation
bin10100110111000111…
…10110100101010000
31001220112101212121122
422123203312211100
5140414122123210
65051202341412
7544353513014
oct123343664520
931815355548
1011199801680
114827aa5851
12220695a868
1310964425b2
14783640544
154583a9b55
hex29b8f6950

11199801680 has 40 divisors (see below), whose sum is σ = 26104550184. Its totient is φ = 4468736000.

The previous prime is 11199801661. The next prime is 11199801713. The reversal of 11199801680 is 8610899111.

11199801680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6042263824 + 5157537856 = 77732^2 + 71816^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142481 + ... + 206640.

Almost surely, 211199801680 is an apocalyptic number.

11199801680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11199801680 is an abundant number, since it is smaller than the sum of its proper divisors (14904748504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11199801680 is a wasteful number, since it uses less digits than its factorization.

11199801680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349535 (or 349529 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 44.

The spelling of 11199801680 in words is "eleven billion, one hundred ninety-nine million, eight hundred one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 401 802 1604 2005 3208 4010 6416 8020 16040 32080 349121 698242 1396484 1745605 2792968 3491210 5585936 6982420 13964840 27929680 139997521 279995042 559990084 699987605 1119980168 1399975210 2239960336 2799950420 5599900840 11199801680